Final answer:
The optimal category for LDL cholesterol can be represented by the three-part inequality: 100≤x≤130. The correct answer is option d).
Step-by-step explanation:
The optimal category for LDL cholesterol can be represented by the three-part inequality: 100≤x≤130. This means that the LDL cholesterol number should be greater than or equal to 100, and less than or equal to 130 in order to fall within the optimal category.
For the first part of the inequality, x≤130, it states that the LDL cholesterol number should be less than or equal to 130. This ensures that the LDL cholesterol is not too high.
For the second part of the inequality, 100≤x, it states that the LDL cholesterol number should be greater than or equal to 100. This ensures that the LDL cholesterol is not too low.